Title
On interior algorithms for linear programming with no regularity assumptions
Abstract
The linear programming algorithm of Karmarkar (1984), and all interior methods subsequently devised, require a regularity assumption that the primal and/or dual problem possess a nonempty interior. In this note we devise a polynomial-time interior algorithm which will directly 'process' and linear program, with no regularity assumptions whatsoever, without the addition of any 'M' terms. Our method is based on the application of a combined phase I-phase II algorithm to a combined primal-dual problem.
Year
DOI
Venue
1992
10.1016/0167-6377(92)90026-Y
Operations Research Letters
Keywords
Field
DocType
linear program,linear programming
Mathematical optimization,Linear programming algorithm,Algorithm,Duality (optimization),Linear programming,Karmarkar's algorithm,Time complexity,Interior point method,Mathematics
Journal
Volume
Issue
ISSN
11
4
0167-6377
Citations 
PageRank 
References 
3
0.56
8
Authors
1
Name
Order
Citations
PageRank
Kurt M. Anstreicher163386.40